Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control
| dc.contributor.author | Xie, Xiang | |
| dc.contributor.author | Liu, Xinzhi | |
| dc.contributor.author | Xu, Honglei | |
| dc.contributor.author | Luo, Xiaobing | |
| dc.contributor.author | Liu, Genfan | |
| dc.date.accessioned | 2020-05-21 18:32:14 (GMT) | |
| dc.date.available | 2020-05-21 18:32:14 (GMT) | |
| dc.date.issued | 2019-12 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cnsns.2019.104905 | |
| dc.identifier.uri | http://hdl.handle.net/10012/15899 | |
| dc.description | The final publication is available at Elsevier via https://doi.org/10.1016/j.cnsns.2019.104905. © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
| dc.description.abstract | This paper studies the synchronization problem of coupled reaction-diffusion neural networks with time-varying delays. A novel pinning impulsive controller is proposed, where distributed delays and discrete delays are taken into account, respectively. By using the Lyapunov–Krasovskii method, the relations among impulsive gains, pinned node numbers, impulsive intervals, impulsive instants and time delays are derived. Exponential synchronization criteria are established for the delayed coupled reaction-diffusion neural networks. Our results show that synchronization of the neural networks can be achieved by controlling a small portion of nodes in the networks via delayed impulses. Numerical examples are provided to demonstrate the effectiveness of the theoretical results. | en |
| dc.description.sponsorship | This work was supported in part by the China Scholarship Council, the Australian Research Council under Grant DP160102819, the NSERC Canada, and the National Natural Science Foundation of China under Grant No.51625601. | en |
| dc.language.iso | en | en |
| dc.publisher | Elsevier | en |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | impulsive control | en |
| dc.subject | neural network | en |
| dc.subject | pinning control | en |
| dc.subject | reaction-diffusion | en |
| dc.title | Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control | en |
| dc.type | Article | en |
| dcterms.bibliographicCitation | chronization of Coupled Reaction-Diffusion Neural Networks: Delay-Dependent Pinning Impul- sive Control, Communications in Nonlinear Science and Numerical Simulation (2019), doi: https://doi.org/10.1016/j.cnsns.2019.104905 | en |
| uws.contributor.affiliation1 | Faculty of Mathematics | en |
| uws.contributor.affiliation2 | Applied Mathematics | en |
| uws.typeOfResource | Text | en |
| uws.peerReviewStatus | Reviewed | en |
| uws.scholarLevel | Faculty | en |
Files in this item
This item appears in the following Collection(s)
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 International